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Finding the Third Proportional to 103,666.08 and 226,810.13

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Solution

The third proportional to 103,666.08 and 226,810.13 is: 496,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,666.08 : 226,810.13 = 226,810.13 : x
  2. Step 2: Convert to fraction form
    103,666.08/226,810.13 = 226,810.13/x
  3. Step 3: Cross multiply
    103,666.08x = 226,810.13 × 226,810.13
  4. Step 4: Simplify right side
    103,666.08x = 51,442,832,802.52
  5. Step 5: Solve for x
    x = 51,442,832,802.52/103,666.08
  6. Step 6: Final answer
    x = 496,235.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.